Studying VLOCV twin compact stars with binary mergers

A Detailed Analysis of the Special Points on $M-R$ Solutions of Hybrid (Twin) Stars

“…In other cases the two maxima differ in mass. In the present work our results mostly belong to the Category III as categorized by [29,30,66] in which the maxima on the hadronic branch is just above 1 M while that on the hybrid branch is above 2 M mostly for B as =30 MeV fm −3 . In few cases (figure 1) for the lowest value of B as , we have found that our HS configurations belong the Category IV since in such cases the maxima on the hadronic branch is slightly below 1 M .…”

“…Figures 1 and 2 also show the existence of twin star configurations characterized by points on the M − R plot having same mass but different radii. From [29,30,66] it is often seen that the two maxima on the two branches may have close values of mass that exceed 2 M (Category I). In other cases the two maxima differ in mass.…”

“…In this context, we obtain twin star configurations and special points (SPs) on the M − R diagram with all the considered hadronic models. Several works have suggested that phase transition from hadronic to unpaired or color-flavor locked quark matter often leads to the formation of a "third family" of compact stars [8,17,27,55,[62][63][64][65][66][67][68][69][70][71][72] and twin star configurations under certain circumstances of strong first order phase transitions mainly with considerable density jumps. The M −R plot in such cases often show non-identical branches with two distinct maxima at two different radii.…”

“…However, depending on its transition density, the twins with nearly identical mass can both be located in the second stable branch [73]. Few works have classified such twin stars broadly into four categories depending on the location of these twins in terms of mass [29,30,66]. A SP (M SP , R SP ) on the M − R plot indicates the small region where all the HS solutions merge irrespective of the different transition densities for different values of bag pressure.…”

Compact Star Twins with a Dark Matter Core

“…The resulting dark matter equation of state undergoes a strong first-order phase transition to hadronic matter in the interior of compact stars, producing the so-called compact star mass twins configurations, stars of about the same gravitational mass but different radius. This phenomenon has been studied in many works [8,9,10,11,12,13,14] where compact stars feature a deconfined quark matter core. The astrophysical aspects of the twins have been studied in [15].…”